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342111456 = 25321187887
BaseRepresentation
bin10100011001000…
…011010011100000
3212211202001200200
4110121003103200
51200040031311
653540345200
711322620331
oct2431032340
9784661620
10342111456
11166127445
12966a5200
1355b5371b
1433616288
152007b556
hex146434e0

342111456 has 36 divisors (see below), whose sum is σ = 972880272. Its totient is φ = 114037056.

The previous prime is 342111439. The next prime is 342111467. The reversal of 342111456 is 654111243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 593656 + ... + 594231.

It is an arithmetic number, because the mean of its divisors is an integer number (27024452).

Almost surely, 2342111456 is an apocalyptic number.

342111456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342111456 is an abundant number, since it is smaller than the sum of its proper divisors (630768816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342111456 is a wasteful number, since it uses less digits than its factorization.

342111456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187903 (or 1187892 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 342111456 is about 18496.2551885510. The cubic root of 342111456 is about 699.3950256013.

Adding to 342111456 its reverse (654111243), we get a palindrome (996222699).

The spelling of 342111456 in words is "three hundred forty-two million, one hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1187887 2375774 3563661 4751548 7127322 9503096 10690983 14254644 19006192 21381966 28509288 38012384 42763932 57018576 85527864 114037152 171055728 342111456